Pushing the vibrator ground-force envelope towards low frequencies

Several mechanical and hydraulic limitations hinder the ground-force energy output of a seismic vibrator at low frequencies. The hydraulic pump flow, pump response time, reaction mass stroke, servo valve stroke, engine horsepower, accumulator size, harmonic distortion and vehicle chassis isolation each play a role in limiting the ground-force energy output of vibrators. In addition, the peak-decoupling force – which is defined as the smaller value of either the maximum peak force or the hold-down weight – also plays a role in limiting ground-force energy production. A model useful for simulating seismic vibrator dynamics is developed to evaluate the impact of these parameters on the vibrator fundamental force envelope at low frequencies. Model data show that among these factors the reaction mass stroke and the peak-decoupling force are key parameters for setting the target fundamental force that can be achieved at low frequencies. Formulas are derived to estimate fundamental force, peak force and the reaction mass displacement. These formulas can serve as guidelines for sweep designers who plan to design low frequency sweeps with considerable dwell time in the lower frequency ranges. Test data show that formulas can be used to profile the vibrator envelope at low frequencies.